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Three qubits can be entangled in two inequivalent ways
Invertible local transformations of a multipartite system are used to define equivalence classes in the set of entangled states. This classification concerns the entanglement properties of a singleExpand
Efficient classical simulation of slightly entangled quantum computations.
  • G. Vidal
  • Physics, Medicine
  • Physical review letters
  • 15 January 2003
We present a classical protocol to efficiently simulate any pure-state quantum computation that involves only a restricted amount of entanglement. More generally, we show how to classically simulateExpand
Computable measure of entanglement
We present a measure of entanglement that can be computed effectively for any mixed state of an arbitrary bipartite system. We show that it does not increase under local manipulations of the system,Expand
Efficient simulation of one-dimensional quantum many-body systems.
  • G. Vidal
  • Computer Science, Physics
  • Physical review letters
  • 14 October 2003
We present a numerical method to simulate the time evolution, according to a generic Hamiltonian made of local interactions, of quantum spin chains and systems alike. Expand
Class of quantum many-body states that can be efficiently simulated.
  • G. Vidal
  • Physics, Medicine
  • Physical review letters
  • 12 October 2006
We introduce the multiscale entanglement renormalization ansatz, a class of quantum many-body states on a D-dimensional lattice that can be efficiently simulated with a classical computer, in thatExpand
Entanglement renormalization.
  • G. Vidal
  • Physics, Medicine
  • Physical review letters
  • 8 December 2005
We propose a real-space renormalization group (RG) transformation for quantum systems on a D-dimensional lattice. The transformation partially disentangles a block of sites before coarse-graining itExpand
Entanglement in quantum critical phenomena.
Entanglement, one of the most intriguing features of quantum theory and a main resource in quantum information science, is expected to play a crucial role also in the study of quantum phaseExpand
Robustness of entanglement
In the quest to completely describe entanglement in the general case of a finite number of parties sharing a physical system of finite-dimensional Hilbert space an entanglement magnitude isExpand
Classical simulation of quantum many-body systems with a tree tensor network
We show how to efficiently simulate a quantum many-body system with tree structure when its entanglement (Schmidt number) is small for any bipartite split along an edge of the tree. As anExpand
Mixed-state dynamics in one-dimensional quantum lattice systems: a time-dependent superoperator renormalization algorithm.
We present an algorithm to study mixed-state dynamics in one-dimensional quantum lattice systems. The algorithm can be used, e.g., to construct thermal states or to simulate real time evolution givenExpand